TSTP Solution File: ALG073+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:59:48 EDT 2022
% Result : Theorem 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 20 RR)
% Number of literals : 30 ( 16 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
sorti1('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
sorti1('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(5,axiom,
op1('SKOLEMAAAV1','SKOLEMAAAV1') = 'SKOLEMAAAV2',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(6,axiom,
op1('SKOLEMAAAV2','SKOLEMAAAV2') = 'SKOLEMAAAV1',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(7,axiom,
op1('SKOLEMAAAV1','SKOLEMAAAV2') != 'SKOLEMAAAV1',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(8,axiom,
( ~ sorti2(X)
| ~ sorti2(Y)
| op2(X,X) != Y
| op2(Y,Y) != X
| op2(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(9,negated_conjecture,
( ~ sorti1(X)
| sorti2(h(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(11,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(12,negated_conjecture,
( ~ sorti2(X)
| ~ sorti2(Y)
| j(op2(X,Y)) = op1(j(X),j(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(14,negated_conjecture,
( ~ sorti1(X)
| j(h(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(15,plain,
sorti2(h('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[9,4]) ).
cnf(16,plain,
sorti2(h('SKOLEMAAAV1')),
inference('HYPERRESOLVE',[status(thm)],[9,3]) ).
cnf(17,plain,
j(h('SKOLEMAAAV2')) = 'SKOLEMAAAV2',
inference('HYPERRESOLVE',[status(thm)],[14,4]) ).
cnf(18,plain,
j(h('SKOLEMAAAV1')) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[14,3]) ).
cnf(21,plain,
h('SKOLEMAAAV1') = op2(h('SKOLEMAAAV2'),h('SKOLEMAAAV2')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,4,4]),6,theory(equality)]) ).
cnf(23,plain,
h(op1('SKOLEMAAAV1','SKOLEMAAAV2')) = op2(h('SKOLEMAAAV1'),h('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[11,3,4]) ).
cnf(24,plain,
h('SKOLEMAAAV2') = op2(h('SKOLEMAAAV1'),h('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,3,3]),5,theory(equality)]) ).
cnf(27,plain,
j(h(op1('SKOLEMAAAV1','SKOLEMAAAV2'))) = op1('SKOLEMAAAV1','SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,16,15]),17,18,23,theory(equality)]) ).
cnf(335,plain,
h(op1('SKOLEMAAAV1','SKOLEMAAAV2')) = h('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,24,16,15,21]),23,theory(equality)]) ).
cnf(337,plain,
$false,
inference('REWRITE',[status(thm)],[27,7,18,335,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG073+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 05:28:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:28:18
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-08T05:28:18
% 0.38/0.58
% 0.38/0.58
% 0.38/0.58 #||
% 0.38/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 % SZS output start Refutation
% See solution above
% 0.38/0.58 ||#
% 0.38/0.58
% 0.38/0.58 ; Summary of computation:
% 0.38/0.58 ; 814 formulas have been input or derived (from 33 formulas).
% 0.38/0.58 ; 337 (41%) were retained. Of these,
% 0.38/0.58 ; 26 ( 8%) were simplified or subsumed later,
% 0.38/0.58 ; 311 (92%) are still being kept.
% 0.38/0.58 ;
% 0.38/0.58 ; Run time in seconds excluding printing time:
% 0.38/0.58 ; 0.002 2% Read assertion file (1 call)
% 0.38/0.58 ; 0.001 1% Assert (5 calls)
% 0.38/0.58 ; 0.037 35% Process new row (734 calls)
% 0.38/0.58 ; 0.015 14% Resolution (64 calls)
% 0.38/0.58 ; 0.000 0% Paramodulation (32 calls)
% 0.38/0.58 ; 0.000 0% Condensing (11 calls)
% 0.38/0.58 ; 0.001 1% Forward subsumption (11 calls)
% 0.38/0.58 ; 0.000 0% Backward subsumption (11 calls)
% 0.38/0.58 ; 0.000 0% Clause clause subsumption (1 call)
% 0.38/0.58 ; 0.019 18% Forward simplification (734 calls)
% 0.38/0.58 ; 0.006 6% Backward simplification (337 calls)
% 0.38/0.58 ; 0.001 1% Ordering (207 calls)
% 0.38/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.38/0.58 ; 0.000 0% Purity testing (1 call)
% 0.38/0.58 ; 0.024 22% Other
% 0.38/0.58 ; 0.107 Total
% 0.38/0.58 ; 0.110 Real time
% 0.38/0.58 ;
% 0.38/0.58 ; Term-hash-array has 808 terms in all.
% 0.38/0.58 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.38/0.58 ; Feature-vector-row-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.38/0.58 ; Retrieved 1 possibly forward subsuming row in 11 calls.
% 0.38/0.58 ; Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.38/0.58 ; Path-index has 744 entries (809 at peak, 811 added, 67 deleted).
% 0.38/0.58 ; Path-index has 462 nodes (462 at peak, 462 added, 0 deleted).
% 0.38/0.58 ; Trie-index has 744 entries (809 at peak, 811 added, 67 deleted).
% 0.38/0.58 ; Trie-index has 3,226 nodes (3,569 at peak, 3,573 added, 347 deleted).
% 0.38/0.58 ; Retrieved 539 generalization terms in 3,227 calls.
% 0.38/0.58 ; Retrieved 325 instance terms in 325 calls.
% 0.38/0.58 ; Retrieved 6,149 unifiable terms in 880 calls.
% 0.38/0.58 ;
% 0.38/0.58 ; The agenda of backward simplifiable rows to process has 23 entries:
% 0.38/0.58 ; 23 with value 0
% 0.38/0.58 ; The agenda of rows to process has 5 entries:
% 0.38/0.58 ; 3 with value 13 1 with value 33 1 with value 34
% 0.38/0.58 ; The agenda of rows to give has 279 entries:
% 0.38/0.58 ; 2 with value (4 12) 64 with value (4 19) 32 with value (4 26)
% 0.38/0.58 ; 4 with value (4 13) 4 with value (4 20) 1 with value (4 28)
% 0.38/0.58 ; 9 with value (4 14) 8 with value (4 21) 1 with value (4 29)
% 0.38/0.58 ; 33 with value (4 15) 1 with value (4 24) 16 with value (4 30)
% 0.38/0.58 ; 4 with value (4 16) 4 with value (4 25) 64 with value (4 34)
% 0.38/0.58 ; 32 with value (4 17)
% 0.38/0.58 Evaluation took:
% 0.38/0.58 0.11 seconds of real time
% 0.38/0.58 0.098043 seconds of user run time
% 0.38/0.58 0.01206 seconds of system run time
% 0.38/0.58 0 calls to %EVAL
% 0.38/0.58 0 page faults and
% 0.38/0.58 6,780,160 bytes consed.
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:28:18
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 *
%------------------------------------------------------------------------------